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A010163 Continued fraction for sqrt(92). 3
9, 1, 1, 2, 4, 2, 1, 1, 18, 1, 1, 2, 4, 2, 1, 1, 18, 1, 1, 2, 4, 2, 1, 1, 18, 1, 1, 2, 4, 2, 1, 1, 18, 1, 1, 2, 4, 2, 1, 1, 18, 1, 1, 2, 4, 2, 1, 1, 18, 1, 1, 2, 4, 2, 1, 1, 18, 1, 1, 2, 4, 2, 1, 1, 18, 1, 1, 2, 4, 2, 1, 1, 18, 1, 1, 2, 4, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,20000

G. Xiao, Contfrac

Index entries for continued fractions for constants

FORMULA

a(n)=(1/112)*{-223*(n mod 8)+15*[(n+1) mod 8]+29*[(n+2) mod 8]+43*[(n+3) mod 8]-13*[(n+4) mod 8]+[(n+5) mod 8]+15*[(n+6) mod 8]+253*[(n+7) mod 8]}-9*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jul 24 2009]

EXAMPLE

9.591663046625439083194876128... = 9 + 1/(1 + 1/(1 + 1/(2 + 1/(4 + ...)))) [From Harry J. Smith, Jun 11 2009]

MATHEMATICA

ContinuedFraction[Sqrt[92], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 10 2011*)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 17000); x=contfrac(sqrt(92)); for (n=0, 20000, write("b010163.txt", n, " ", x[n+1])); } [From Harry J. Smith, Jun 11 2009]

CROSSREFS

Cf. A010543 Decimal expansion. [From Harry J. Smith, Jun 11 2009]

Sequence in context: A059928 A180839 A239797 * A200128 A225537 A109012

Adjacent sequences:  A010160 A010161 A010162 * A010164 A010165 A010166

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified November 22 23:43 EST 2014. Contains 249835 sequences.